Network formation of tissue cells via preferential attraction to elongated structures

Details Network formation of tissue cells via preferential attraction to elongated structures Network formation of tissue cells via preferential attraction to elongated structures

2006-12-18

arxiv.org/abs/q-bio/0612035v1

Biology

Quantitative Biology

Cell Behavior

Scientific paper

10.1103/PhysRevLett.98.038102

Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear segments. To explain the emergence of such structures, we propose a simple model of preferential attraction to stretched cells. Numerical simulations reveal that the model evolves into a quasi-stationary pattern containing linear segments, which interconnect above the critical volume fraction of 0.2. In the quasi-stationary state the generation of new branches offset the coarsening driven by surface tension. In agreement with empirical data, the characteristic size of the resulting polygonal pattern is density-independent within a wide range of volume fractions.

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